Posted by Ted on Wednesday, March 19, 2008 at 10:35am.
take the log of both sides
log(5^2x) = log (3^(x+1))
2xlog5 = (x+1)log3
2xlog5 = xlog3 + log3
2xlog5 - xlog3 = log3
x(2log5 - log3) = log 3
x = log3/(2log5 - log3)
x = .5181489...
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